










ACCUPLACER®
Sample Questions for Students
© 2016 The College Board. College Board, ACCUPLACER, WritePlacer and the
acorn logo are registered trademarks of the College Board. All other products and
services may be trademarks of their respective owners. Visit the College Board on
the Web: www.collegeboard.org.
© 2016 THE COLLEGE BOARD
3
ACCUPLACER SAMPLE QUESTIONS
Sentence Skills
In an ACCUPLACER® placement test, there are 20
Sentence Skills questions of two types.
• The first type consists of sentence-correction
questions that require an understanding of
sentence structure. These questions ask you to
choose the most appropriate word or phrase for
the underlined portion of the sentence.
• The second type consists of construction-shift
questions. These questions ask that a sentence be
rewritten according to the criteria shown while
maintaining essentially the same meaning as the
original sentence.
Within these two primary categories, the questions
are also classified according to the skills being tested.
Some questions deal with the logic of the sentence,
others with whether or not the answer is a complete
sentence, and still others with the relationship
between coordination and subordination.
Sentence Skills Sample
Questions
4. When you cross the street in the middle of the block, this is
an example of jaywalking.
A. When you cross the street in the middle of the block,
this
B. You cross the street in the middle of the block, this
C. Crossing the street in the middle of the block
D. The fact that you cross the street in the middle of the
block
5. Walking by the corner the other day, a child, I noticed, was
watching for the light to change.
A. a child, I noticed, was watching
B. I noticed a child watching
C. a child was watching, I noticed,
D. there was, I noticed, a child watching
6. Going back to his old school, everything there looked
smaller than Don remembered.
A. Going back to his old school,
B. When he went back to his old school,
C. To go back to his old school,
D. As he went back to his old school,
7. Painting, drawing and to sculpt are some of the techniques
artists such as Picasso used to express themselves.
A. Painting, drawing and to sculpt
B. To paint, to draw, and sculpting
C. Painting, drawing, and sculpting
D. To paint, draw, and sculpting
Directions for questions 1–11
Select the best version of the underlined part of the
sentence. The first choice is the same as the original
sentence. If you think the original sentence is best,
choose the first answer.
1. Stamp collecting being a hobby that is sometimes used in
the schools to teach economics and social studies.
A. being a hobby that is
B. is a hobby because it is
C. which is a hobby
D. is a hobby
2. Knocked sideways, the statue looked as if it would fall.
A. Knocked sideways, the statue looked
B. The statue was knocked sideways, looked
C. The statue looked knocked sideways
D. The statue, looking knocked sideways,
© 2016 THE COLLEGE BOARD
3. To walk, biking, and driving are Pat’s favorite ways of
getting around.
A. To walk, biking, and driving
B. Walking, biking, and driving
C. To walk, biking, and to drive
D. To walk, to bike, and also driving
8. Playing sports in school which is an activity meant to teach
teamwork and leadership skills students can use later in life.
A. which is an activity
B. is an activity because it is
C. being an activity which is
D. is an activity
9. Glancing at his watch, Daniel picked up his speed.
A. Glancing at his watch,
B. He glanced at his watch, and
C. To glance at his watch,
D. He glanced at his watch,
10. For a snake, shedding their skin up to eight times a year is
part of a natural process.
A. For a snake, shedding their skin
B. A snake’s shedding its skin
C. When a snake sheds its skin
D. To shed its skin, for snakes
4
ACCUPLACER SAMPLE QUESTIONS
11. I was surprised by the noise peering through the window to
see who was at the door.
A. I was surprised by the noise peering
B. I was surprised by the noise, peered
C. The noise surprised me, peering
D. Surprised by the noise, I peered
Directions for questions 12–22
Rewrite the sentence in your head following the
directions given below. Keep in mind that your new
sentence should be well written and should have
essentially the same meaning as the original sentence.
15. The band began to play, and then the real party started.
Rewrite, beginning with
The real party started
The next words will be
A. after the band began
B. and the band began
C. although the band began
D. the band beginning
16. Chris heard no unusual noises when he listened in the park.
Rewrite, beginning with
12. It is easy to carry solid objects without spilling them, but the
same cannot be said of liquids.
Rewrite, beginning with
Unlike liquids,
The next words will be
A. it is easy to
B. we can easily
C. solid objects can easily be
D. solid objects are easy to be
Listening in the park,
The next words will be
A. no unusual noises could be heard
B. then Chris heard no unusual noises
C. and hearing no unusual noises
D. Chris heard no unusual noises
17. It is unusual to see owls during the daytime, since they are
nocturnal animals.
Rewrite, beginning with
Being nocturnal animals,
13. Although the sandpiper is easily frightened by noise and
light, it will bravely resist any force that threatens its nest.
The next words will be
A. it is unusual to see owls
B. owls are not usually seen
C. owls during the daytime are
D. it is during the daytime that
Rewrite, beginning with
The sandpiper is easily frightened by noise and light,
The next words will be
A. but it will bravely resist
B. nevertheless bravely resisting
C. and it will bravely resist
D. even if bravely resisting
18. If I want your opinion, I will ask for it.
Rewrite, beginning with
I won’t ask for your opinion
14. If he had enough strength, Todd would move the boulder.
The next words will be
A. if I want it
B. when I want it
C. although I want it
D. unless I want it
Rewrite, beginning with
Todd cannot move the boulder
The next words will be
A. when lacking
B. because he
C. although there
D. without enough
19. It began to rain, and everyone at the picnic ran to the trees
to take shelter.
Rewrite, beginning with
Everyone at the picnic ran to the trees to take shelter
The next words will be
A. beginning to rain
B. when it began to rain
C. although it began to rain
D. and it began to rain
© 2016 THE COLLEGE BOARD
5
ACCUPLACER SAMPLE QUESTIONS
Reading Comprehension
20. Lucy saw an amazing sight when she witnessed her first
sunrise.
In an ACCUPLACER placement test, there are
20 questions of two primary types in Reading
Comprehension.
Rewrite, beginning with
Witnessing her first sunrise,
The next words will be
A. an amazing sight was seen
B. when Lucy saw an amazing sight
C. Lucy saw an amazing sight
D. seeing an amazing sight
21. After three hours of walking the museum, the entire family
felt in need of a rest.
Rewrite, beginning with
The entire family felt in need of a rest
The next words will be
A. walking through the museum for three hours
B. having walked through the museum for three hours
C. and they walked through the museum for three hours
D. despite having walked through the museum for three
hours
22. The big celebration meal was over, and everyone began to
feel sleepy.
Rewrite, beginning with
• The first type of question consists of a reading
passage followed by a question based on the text.
Both short and long passages are provided. The
reading passages can also be classified according
to the kind of information processing required,
including explicit statements related to the main
idea, explicit statements related to a secondary
idea, application, and inference.
• The second type of question, sentence
relationships, presents two sentences followed by a
question about the relationship between these two
sentences. The question may ask, for example, if
the statement in the second sentence supports that
in the first, if it contradicts it, or if it repeats the
same information.
Reading Comprehension
Sample Questions
Everyone began to feel sleepy
The next words will be
A. and the big celebration meal
B. before the big celebration meal
C. after the big celebration meal
D. although the big celebration meal
Directions for questions 1–9
Read the statement or passage and then choose the best
answer to the question. Answer the question based on
what is stated or implied in the statement or passage.
1. In the words of Thomas De Quincey, “It is notorious that
the memory strengthens as you lay burdens upon it.” If,
like most people, you have trouble recalling the names of
those you have just met, try this: The next time you are
introduced, plan to remember the names. Say to yourself,
“I’ll listen carefully; I’ll repeat each person’s name to be
sure I’ve got it, and I will remember.” You’ll discover how
effective this technique is and probably recall those names
for the rest of your life.
The quotation from De Quincey indicates that the memory
A. always operates at peak efficiency
B. breaks down under great strain
C. improves if it is used often
D. becomes unreliable if it tires
© 2016 THE COLLEGE BOARD
6
ACCUPLACER SAMPLE QUESTIONS
2. Unemployment was the overriding fact of life when
Franklin D. Roosevelt became president of the United States
on March 4, 1933. At the time, the government did not
systematically collect statistics of joblessness; actually it did
not start doing so until 1940. The Bureau of Labor Statistics
later estimated that 12,830,000 persons were out of work in
1933, about one-fourth of a civilian labor force of more than
51 million.
Roosevelt signed the Federal Emergency Relief Act on May
12, 1933. The president selected Harry L. Hopkins, who
headed the New York relief program, to run FERA. A gifted
administrator, Hopkins quickly put the program into high
gear. He gathered a small staff in Washington and brought
the state relief organizations into the FERA system. While
the agency tried to provide all the necessities, food came
first. City dwellers usually got an allowance for fuel, and
rent for one month was provided in case of eviction.
This passage is primarily about
A. methods of estimating unemployment rates in the
1930s
B. the effect of unemployment on United States families
C. President Franklin D. Roosevelt’s presidency
D. the creation of President Roosevelt’s FERA program
3. With varying success, many women around the world
today struggle for equal rights. Historically, women have
achieved greater equality with men during periods of social
adversity. The following factors initiated the greatest number
of improvements for women: violent revolution, world war,
and the rigors of pioneering in an undeveloped land. In all
three cases, the essential element that improved the status
of women was a shortage of men, which required women to
perform many of society’s vital tasks.
We can conclude from the information in this passage that
A. women today are highly successful in winning equal
rights
B. only pioneer women have been considered equal to
men
C. historically, women have only achieved equality
through force
D. historically, the principle of equality alone has not been
enough to secure women equal rights
4. All water molecules form six-sided structures as they freeze
and become snow crystals. The shape of a snow crystal is
determined by temperature, vapor, and wind conditions in
the upper atmosphere. A snow crystal is always symmetrical
because these conditions affect all six of its sides
simultaneously.
The passage suggests that people remember names best
when they
A. meet new people
B. are intelligent
C. decide to do so
D. are interested in people
6. Many people have owned, or have heard of, traditional
“piggy banks,” coin banks shaped like pigs. A logical theory
about how this tradition started might be that because pigs
often symbolize greed, the object is to “fatten” one’s piggy
bank with as much money as possible.
However, while this idea makes sense, it is not the correct
origin of the term. The genesis of the piggy bank is the old
English word “pygg,” which was a common kind of clay
hundreds of years ago in England. People used pots and jars
made out of this red “pygg” clay for many different purposes
in their homes. Sometimes they kept their money in one of
the pots, and this was known as a pygg bank. Over the years,
because “pygg” and “pig” sounded the same, glaziers began
making novelty banks out of pottery in the shape of a pig as
a kind of joke. These banks were given as gifts and exported
to countries where people spoke other languages and where
no one had ever heard of pygg clay. The tradition caught on
all over the world, and today piggy banks come in all colors
and are made of all kinds of materials, including plastic.
This passage is mainly about how
A. people in different countries save their money
B. people in England made pottery centuries ago
C. a common term originated in a surprising way
D. an unusual custom got started
7. The wheel is considered one of the most important
mechanical inventions of all time. Many technologies since
the invention of the wheel have been based on its principles,
and since the industrial revolution, the wheel has been
a basic element of nearly every machine constructed by
humankind. No one knows the exact time and place of the
invention of the wheel, but its beginnings can be seen across
many ancient civilizations.
The passage suggests that the wheel is an important
invention because it
A. is one of the world’s oldest inventions
B. forms the basis of so many later inventions
C. can be traced to many ancient cultures
D. is one the world’s most famous inventions
The purpose of the passage is to present
A. a personal observation
B. a solution to a problem
C. factual information
D. opposing scientific theories
© 2016 THE COLLEGE BOARD
5. In the words of Thomas De Quincey, “It is notorious that
the memory strengthens as you lay burdens upon it.” If,
like most people, you have trouble recalling the names of
those you have just met, try this: The next time you are
introduced, plan to remember the names. Say to yourself,
“I’ll listen carefully; I’ll repeat each person’s name to be sure
I have it, and I will remember.” You’ll discover how effective
this technique is and probably recall those names for the rest
of your life.
7
ACCUPLACER SAMPLE QUESTIONS
8. Samuel Morse, best known today as the inventor of
Morse Code and one of the inventors of the telegraph,
was originally a prominent painter. While he was always
interested in technology and studied electrical engineering
in college, Morse went to Paris to learn from famous artists
of his day and later painted many pictures that now hang
in museums, including a portrait of former President John
Adams. In 1825, Morse was in Washington, D.C., painting
a portrait of the Marquis de Lafayette when a messenger
arrived on horseback to tell him that his wife was gravely
ill back at his home in Connecticut. The message had taken
several days to reach him because of the distance. Morse
rushed to his home as fast as he could, but his wife had
already passed away by the time he arrived. Grief-stricken,
he gave up painting and devoted the rest of his life to finding
ways to transmit messages over long distances faster.
Morse left the art world and helped to invent the telegraph
because he
A. was tired of painting
B. wanted to communicate with people far away
C. experienced a personal tragedy in his life
D. was fascinated by science
9. Leonardo da Vinci is not only one of the most famous
artists in history, but he was also a botanist, a writer, and
an inventor. Even though most of his inventions were
not actually built in his lifetime, many of today’s modern
machines can be traced back to some of his original designs.
The parachute, the military tank, the bicycle, and even the
airplane were foretold in the imaginative drawings that can
still be seen in the fragments of da Vinci’s notebooks. Over
500 years ago, this man conceived ideas that were far ahead
of his time.
The subject combines the study of history and the social
sciences and promotes skills in citizenship.
What does the second sentence do?
A. It expands on the first sentence.
B. It makes a contrast.
C. It proposes a solution.
D. It states an effect.
12. Knowledge of another language fosters greater awareness of
cultural diversity among the peoples of the world.
Individuals who have foreign language skills can appreciate
more readily other peoples’ values and ways of life.
How are the two sentences related?
A. They contradict each other.
B. They present problems and solutions.
C. They establish a contrast.
D. They repeat the same idea.
13. While most people think of dogs as pets, some dogs are bred
and trained specifically for certain types of work.
The bloodhound’s acute sense of smell and willing
personality make it ideal for tracking lost objects or people.
What does the second sentence do?
A. It makes a contrast.
B. It restates an idea found in the first.
C. It states an effect.
D. It gives an example.
14. Paris, France, is a city that has long been known as a center
of artistic and cultural expression.
The author of this passage is praising da Vinci primarily
for his
A. artistic talent
B. intelligence
C. foresight
D. fame
In the 1920s, Paris was home to many famous artists
and writers from around the world, such as Picasso and
Hemingway.
Directions for questions 10–18
For the questions that follow, two underlined sentences
are followed by a question or statement. Read the
sentences, then choose the best answer to the question or
the best completion of the statement.
10. The Midwest is experiencing its worst drought in 15 years.
Corn and soybean prices are expected to be very high this
year.
What does the second sentence do?
A. It reinforces the first.
B. It states an effect.
C. It draws a conclusion.
D. It provides a contrast.
15. Studies show that the prevalence of fast-food restaurants
corresponds with the rates of obesity in both children and
adults.
Obesity is now on the rise in countries where fast-food
restaurants are becoming more common.
How do the two sentences relate?
A. They express roughly the same idea.
B. They contradict each other.
C. They present problems and solutions.
D. They establish a contrast.
What does the second sentence do?
A. It restates the idea found in the first.
B. It states an effect.
C. It gives an example.
D. It analyzes the statement made in the first.
© 2016 THE COLLEGE BOARD
11. Social studies classes focus on the complexity of our social
environment.
8
ACCUPLACER SAMPLE QUESTIONS
16. Compared with the rest of the country, North Dakota has
a thriving economy, making it a place where more people
want to live.
With temperatures in January ranging from 2 to 17 degrees
Fahrenheit, winters in North Dakota are viewed by some
prospective residents as inhospitable.
What does the second sentence do?
A. It reinforces the first.
B. It explains what is stated in the first.
C. It contradicts the first.
D. It analyzes a statement made in the first.
17. Some stores are testing a new checkout system that allows
shoppers to use their mobile phones to scan items as they
walk through stores and pay at self-service kiosks, skipping
the cashiers’ lines.
WritePlacer®
This test measures your ability to write effectively,
which is critical to academic success.
Your writing sample will be scored on the basis of
how effectively it communicates a whole message to
the readers for the stated purpose. Your score will be
based on your ability to express, organize and support
your opinions and ideas, not the position you take on
the essay topic. The following five characteristics of
writing will be considered:
• Focus — The clarity with which you maintain
your main idea or point of view
• Organization — The clarity with which you
structure your response and present a logical
sequence of ideas
The new mobile checkout system reduces long lines and
customer wait times in stores.
What does the second sentence do?
A. It expands on the first.
B. It states an effect.
C. It contrasts with the first.
D. It gives an example.
• Development and Support — The extent to which
you elaborate on your ideas and the extent to
which you present supporting details
18. According to the American Sleep Disorders Association, the
average teenager needs around 9.5 hours of sleep per night,
possibly because critical growth hormones are released
during sleep.
The average adult requires between six and eight hours of
sleep per night for optimal health and productivity.
How do the two sentences relate?
A. They establish a contrast.
B. They contradict each other.
C. They reinforce each other.
D. They provide a problem and solution.
• Sentence Structure — The effectiveness of your
sentence structure
• Mechanical Conventions — The extent to which
your writing is free of errors in usage and
mechanics
WritePlacer Sample Topic
Prepare a multiple-paragraph writing sample of about
300–600 words on the topic below. You should use the
time available to plan, write, review and edit what you
have written. Read the assignment carefully before you
begin to write.
Some schools require each student to participate in an
organized school sport chosen by the student. People at
these schools argue that athletics is an important part
of the educational experience and that there should be a
rule requiring participation. Others argue that students
should be free to decide whether or not they wish to
participate in organized school sports. Write an essay
for a classroom instructor in which you take a position
on whether participation in organized school athletics
should be required. Be sure to defend your position
with logical arguments and appropriate examples. Your
essay must be 300–600 words in length.
© 2016 THE COLLEGE BOARD
9
ACCUPLACER SAMPLE QUESTIONS
Elementary Algebra
There are 12 questions administered on the Elementary
Algebra test, divided into the following content areas:
• Numbers and quantities. Topics include integers
and rational numbers, computation with
integers and negative rationals, absolute value,
and ordering.
• Algebraic expressions. Topics include evaluation
of simple formulas and expressions, adding
and subtracting monomials and polynomials,
multiplying and dividing monomials and
polynomials, evaluating positive rational roots
and exponents, simplifying algebraic fractions,
and factoring.
• Problem solving. Topics include translating
written phrases into algebraic expressions,
solving linear equations and inequalities,
quadratic equations (by factoring), and verbal
problems presented in an algebraic context.
Elementary Algebra
Sample Questions
For each of the questions below, choose the best answer
from the four choices given. You may use the paper you
received as scratch paper.
1.
IfA represents the number of apples purchased at 15 cents
each, and B represents the number of bananas purchased
at 10 cents each, which of the following represents the total
value of the purchases in cents?
A.
B.
C.
D.
A+B
25(A + B)
10A + 15B
15A + 10B
2. √2 × √ 15 = ?
A.
B.
C.
D.
√17
√30
17
30
3. What is the value of the expression 2x2 + 3xy – 4y2 when
x = 2 and y = –4?
A.
B.
C.
D.
–80
–32
32
80
4. In the figure below, both circles have the same center, and
the radius of the larger circle is R. If the radius of the smaller
circle is 3 units less than R, which of the following represents
the area of the shaded region?
A. πR2
B. π(R – 3)2
C. πR2 – π × 32
D. πR2 – π(R – 3)2
5. (3x – 2y)2 =
A. 9x2 – 4y2
B. 9x2 + 4y2
C. 9x2 – 6xy + 4y2
D. 9x2 – 12xy + 4y2
© 2016 THE COLLEGE BOARD
10
ACCUPLACER SAMPLE QUESTIONS
A.
B.
$
%
*GUUIFOU
– 6 *GYUIFO Y YoY
o
" Yo
2
Yo
Y–2
Yo
Y
2
#
$
D. o
'PSXIJDIPGUIFGPMMPXJOHFRVBUJPOTBSFYBOEYo
CPUITPMVUJPOT
oo
–5
" Y
". o
# Yo
# o C. YYo
$
% YoYo
% V
o V *GYȶUIFO V
Y Y
Y
. *GYoY
oUIFOY
" o
# –7
$ 7
%. oo
oo
" o
# o
$ 1
% Y
V
#
V
Y
$
V
Y
%
V
Y
o
o
5IF TPMVUJPOTFUPGXIJDIPGUIFGPMMPXJOHJOFRVBMJUJFTJT
HSBQIFEPOUIFOVNCFSMJOFBCPWF "
B.
$
%
Y
o 8IJDIPGUIFGPMMPXJOHJOFRVBMJUJFTJTFRVJWBMFOUUPUIF
JOFRVBMJUZTIPXOBCPWF " Yȳ
Y¦ȴ¦
Yȳ
Y¦ȳ
Y¦ȴ
YZ
YZ
# Y ≥ 5
$ Yȳ 65
%
A.
)PXNBOZTPMVUJPOTYZBSFUIFSFUPUIFTZTUFNPG
FRVBUJPOTBCPWF
Yȴ
8IJDIPGUIFGPMMPXJOHMJTUTPGOVNCFSTJTPSEFSFEGSPNMFBTU
UPHSFBUFTU
" oo # o
o 2
$ oo % o
o © 2016 THE COLLEGE BOARD
"
#
$
%
/POF
0OF
5XP
.PSFUIBOUXP
8IJDIPGUIFGPMMPXJOHJTBGBDUPSPGCPUIYoYoBOE
YoY
"
#
$
%
11
Yo
Yo
Y
Y
ACCUPLACER SAMPLE QUESTIONS
18.
10x6 + 8x 4
2x2
A.
B.
C.
D.
College-Level Mathematics
=
There are 20 questions administered on the CollegeLevel Mathematics test, divided into the following
content areas:
9x12
14x4
5x4 + 4x2
5x3 + 2x2
19. A rectangular yard has area 96 square feet. If the width of
the yard is 4 feet less than the length, what is the perimeter,
in feet, of the yard?
A.
B.
C.
D.
40
44
48
52
• Solutions of equations and inequalities. Topics
include solving linear and quadratic equations
and inequalities, systems of equations and other
algebraic equations.
20. On Monday, it took Helen 3 hours to do a page of science
homework exercises. The next day she did the same number
of exercises in 2 hours. If her average rate on Monday was p
exercises per hour, what was her average rate the next day, in
terms of p?
B. 3p – 1 exercises per hour
D.
• Coordinate geometry. Topics include plane
geometry, the coordinate plane, straight lines,
conics, sets of points in the plane, and algebraic
function graphs.
• Functions. Topics include polynomial, algebraic,
exponential, and logarithmic functions.
A. 2p + 1 exercises per hour
C.
• Algebraic operations. Topics include simplifying
rational algebraic expressions, factoring and
expanding polynomials, and manipulating roots
and exponents.
• Trigonometry. Topics include trigonometric
functions.
2
p exercises per hour
3
3
p exercises per hour
2
• Applications and other topics. Topics include
complex numbers, series and sequences,
determinants, permutations and combinations,
factorials, and word problems.
College-Level Mathematics
Sample Questions
For each of the questions below, choose the best answer
from the five choices given. You may use the paper you
received as scratch paper.
5
3
1. 2 2 – 2 2 =
1
A. 2 2
B. 2
3
C. 2 2
5
D. 2 3
E. 22
© 2016 THE COLLEGE BOARD
12
ACCUPLACER SAMPLE QUESTIONS
2. If a ≠ b and
1
b
A.
–
1
x
+
1
a
=
7. If the two square regions in the figures below have the
respective areas indicated in square yards, how many yards
of fencing are needed to enclose the two regions? (Assume
the regions are fenced separately.)
1
, then x =
b
1
a
B. b – a
C.
D.
E.
1
ab
a–b
ab
ab
a–b
125
5
(
2
3. If 3x – 2x + 7 = 0, then x –
A.
B.
C.
D.
E.
A. 4√130
B. 20√10
1 2
3 =
)
C. 24√5
D. 100
20
9
7
9
E. 104√5
–7
9
–8
9
20
–
9
8. If log10x = 3, then x =
A. 310
B. 1,000
C. 30
D. 10
4. The graph of which of the following equations is a straight
line parallel to the graph of y = 2x ?
A.
B.
C.
D.
E.
4x – y = 4
2x – 2y = 2
2x – y = 4
2x + y = 2
x – 2y = 4
E.
9.
3
3
10
Iff (x) = 2x + 1 and g(x) =
x–1
2
, then f (g(x)) =
A. x
B.
5. An equation of the line that contains the origin and the
point (1, 2) is
C.
D.
A. y = 2x
E.
B. 2y = x
x–1
4x + 2
4x + 2
x–1
5x + 1
2
(2x + 1)(x – 1)
2
C. y = x – 1
D. y = 2x + 1
E.
y
2
10. If θ is an acute angle and sin θ =
=x–1
6. An apartment building contains 12 units consisting of
one- and two-bedroom apartments that rent for $360 and
$450 per month, respectively. When all units are rented,
the total monthly rental is $4,950. What is the number of
two-bedroom apartments?
A.
B.
C.
D.
E.
3
4
5
6
7
© 2016 THE COLLEGE BOARD
1
2 , then cos θ =
A. –1
B. 0
C. 1
2
D.
√3
2
E. 2
11. 5y(2y – 3) + (2y – 3) =
A.
B.
C.
D.
E.
13
(5y + 1) (2y + 3)
(5y + 1) (2y – 3)
(5y – 1) (2y + 3)
(5y – 1) (2y – 3)
10y (2y – 3)
ACCUPLACER SAMPLE QUESTIONS
12. For what real numbers x is the value of x2– 6x + 9 negative?
A.
B.
C.
D.
E.
–3 < x < 3
x < –3 or x > 3
x = –3 or x = 3
0<x<6
For no real numbers x
16. One ordering of the letters T, U, V, and W from left to right
is UTVW. What is the total number of orderings of these
letters from left to right, including UTVW?
A.
B.
C.
D.
E.
13. A root of x2 – 5x – 1 = 0 is
17. If f (x) =
A.
1< 29
2
B.
5< 17
2
A.
C.
1
29
2
B.
D.
5 17
2
E.
5 29
2
f –1 (3)?
7
3
18. The sequence {an } is defined by ao = 1 and
an + 1 = 2an + 2 for n = 0, 1, 2, ... . What is the value
of a3?
A.
B.
C.
D.
E.
0
8
10
16
20
22
19. From 5 employees at a company, a group of 3 employees will
be chosen to work on a project. How many different groups
of 3 employees can be chosen?
A.
B.
C.
D.
E.
(0, r)
x
( 31 ) and a < b, which of the following must be
x
A. f (a) + f (b) = 3
A. – rs
B. f (a) +
r
s
1
3
= f (b)
C. f (a) = f (b)
C. rs
D. f (a) < f (b)
D. r
E. −s
© 2016 THE COLLEGE BOARD
3
5
6
10
15
20. If f (x) =
true?
If an equation of the linear function in the figure above is
y = mx + b, then m =
B.
1
3
2
3
E.
y
(s, 0)
and f –1 is the inverse of f, what is the value of
D. 2
None
One
Two
Three
More than three
15.
3x – 1
2
C. 1
14. In the xy-plane, the graph of y = x2 and the circle with
center (0, 1) and radius 3 have how many points of
intersection?
A.
B.
C.
D.
E.
8
12
16
20
24
E. f (a) > f (b)
14
ACCUPLACER SAMPLE QUESTIONS
Answer Sheet
SENTENCE SKILLS
Question #
Correct Answer
READING COMPREHENSION
Question #
ELEMENTARY ALGEGRA
Correct Answer
Question #
Correct Answer
D
1
D
1
C
1
2
A
2
D
2
B
3
B
3
D
3
A
4
C
4
C
4
D
5
B
5
C
5
D
6
B
6
C
6
B
7
C
7
B
7
A
8
D
8
C
8
B
9
A
9
C
9
D
10
B
10
B
10
A
11
D
11
A
11
B
12
C
12
D
12
C
13
A
13
D
13
B
14
B
14
A
14
C
15
A
15
A
15
C
16
D
16
C
16
A
17
B
17
B
17
A
18
D
18
A
18
C
19
B
19
A
20
C
20
D
COLLEGE-LEVEL MATH
21
B
Question #
Correct Answer
22
C
1
C
2
E
© 2016 THE COLLEGE BOARD
3
E
4
C
5
A
6
E
7
C
8
B
9
A
10
D
11
B
12
E
13
E
14
C
15
A
16
E
17
E
18
E
19
D
20
E
15
ACCUPLACER SAMPLE QUESTIONS